factor the following trinomial.

\16x^2 + 72x + 81\

$(?x + \quad)^2$

Question

factor the following trinomial.

\16x^2 + 72x + 81\

$(?x + \quad)^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Perfect Square Trinomials" ], "new_concepts": [], "current_concepts": [ "Perfect Square Trinomials", "Quadratic Factoring" ] } ## Identify the perfect square terms Using the *Perfect Square Trinomials* knowledge point $$ \begin{aligned} 16x^2 &= (4x)^2 \ 81 &= 9^2 \end{aligned} $$ ## Verify the middle term Using the *Perfect Square Trinomials* knowledge point $$ 2 \cdot (4x) \cdot 9 = 72x $$ ## Write the factored form Using the *Perfect Square Trinomials* knowledge point $$ 16x^2 + 72x + 81 = (4x + 9)^2 $$ Factor the following trinomial. $16x^2 + 72x + 81$ (4$x +$ 9)$^2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Perfect Square Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the perfect square terms

Verify the middle term

Write the factored form

Answer: